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Holwell had opened the score with an early penalty and added the conversion of his own try to sit alongside a touchdown by Shane Jennings as the Irish side built a 15-3 interval lead.
However Glasgow started to fire in the second period and with Holwell missing a 40-metre kick at goal eight minutes after the restart Calvin Howarth was able to narrow the gap with his second penalty on 55 minutes. Colin Shaw collected Glasgow’s only try after 72 minutes after initial breaks by Cammy Mather and captain Kenny Logan, for Howarth to convert and close the gap to 15-13 .
But Glasgow’s good work was undone when Ben Gissing was mauled over six minutes later to hand Leinster their 11th straight success at their Dublin home.